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CGP EDU Academic Team
Published on: August 13, 2026
The point, which is at the shortest distance from the line x + y = 7 and lying on an ellipse x 2 + 2y 2 = 6, has coordinates (a, b) then the value of 
is
Text Solution
Verified by ExpertsThe correct answer is:
A
2
Equation of the ellipse is 
The tangent at the point of shortest distance from the line x + y = 7 should be parallel to the given line Any point on the given ellipse is 
Equation of the tangent is
.Itisparallelto x+y = 7
Equation of the tangent at P (a cos 
, b sin 
) on ellipse is 
The required point is (2, 1)
Hence, (a, 6) = (2,1)
therefore, 
= 2.
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